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Physics
Physics
Problem
Find the potential
ϕ
(
x
,
y
)
\phi(x, y)
ϕ
(
x
,
y
)
of an electrostatic field
E
⃗
=
2
a
x
y
i
⃗
+
a
(
x
2
−
y
2
)
j
⃗
\vec{E} = 2axy\vec{i} + a(x^2 - y^2)\vec{j}
E
=
2
a
x
y
i
+
a
(
x
2
−
y
2
)
j
, where
a
a
a
is a constant,
i
⃗
\vec{i}
i
and
j
⃗
\vec{j}
j
are the unit vectors of the
x
x
x
and
y
y
y
axes.
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